statistics-0.14.0.2: A library of statistical types, data, and functions

Copyright(c) 2009 Bryan O'Sullivan
LicenseBSD3
Maintainerbos@serpentine.com
Stabilityexperimental
Portabilityportable
Safe HaskellNone
LanguageHaskell98

Statistics.Distribution.Normal

Contents

Description

The normal distribution. This is a continuous probability distribution that describes data that cluster around a mean.

Synopsis

Documentation

data NormalDistribution Source #

The normal distribution.

Instances

Eq NormalDistribution Source # 
Data NormalDistribution Source # 

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> NormalDistribution -> c NormalDistribution #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c NormalDistribution #

toConstr :: NormalDistribution -> Constr #

dataTypeOf :: NormalDistribution -> DataType #

dataCast1 :: Typeable (* -> *) t => (forall d. Data d => c (t d)) -> Maybe (c NormalDistribution) #

dataCast2 :: Typeable (* -> * -> *) t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c NormalDistribution) #

gmapT :: (forall b. Data b => b -> b) -> NormalDistribution -> NormalDistribution #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> NormalDistribution -> r #

gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> NormalDistribution -> r #

gmapQ :: (forall d. Data d => d -> u) -> NormalDistribution -> [u] #

gmapQi :: Int -> (forall d. Data d => d -> u) -> NormalDistribution -> u #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> NormalDistribution -> m NormalDistribution #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> NormalDistribution -> m NormalDistribution #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> NormalDistribution -> m NormalDistribution #

Read NormalDistribution Source # 
Show NormalDistribution Source # 
Generic NormalDistribution Source # 
ToJSON NormalDistribution Source # 
FromJSON NormalDistribution Source # 
Binary NormalDistribution Source # 
ContGen NormalDistribution Source # 
Entropy NormalDistribution Source # 
MaybeEntropy NormalDistribution Source # 
Variance NormalDistribution Source # 
MaybeVariance NormalDistribution Source # 
Mean NormalDistribution Source # 
MaybeMean NormalDistribution Source # 
ContDistr NormalDistribution Source # 
Distribution NormalDistribution Source # 
FromSample NormalDistribution Double Source #

Variance is estimated using maximum likelihood method (biased estimation).

Returns Nothing if sample contains less than one element or variance is zero (all elements are equal)

type Rep NormalDistribution Source # 
type Rep NormalDistribution = D1 (MetaData "NormalDistribution" "Statistics.Distribution.Normal" "statistics-0.14.0.2-9wDz1lVU92ZDJSrAe5uHzb" False) (C1 (MetaCons "ND" PrefixI True) ((:*:) ((:*:) (S1 (MetaSel (Just Symbol "mean") SourceUnpack SourceStrict DecidedUnpack) (Rec0 Double)) (S1 (MetaSel (Just Symbol "stdDev") SourceUnpack SourceStrict DecidedUnpack) (Rec0 Double))) ((:*:) (S1 (MetaSel (Just Symbol "ndPdfDenom") SourceUnpack SourceStrict DecidedUnpack) (Rec0 Double)) (S1 (MetaSel (Just Symbol "ndCdfDenom") SourceUnpack SourceStrict DecidedUnpack) (Rec0 Double)))))

Constructors

normalDistr Source #

Arguments

:: Double

Mean of distribution

-> Double

Standard deviation of distribution

-> NormalDistribution 

Create normal distribution from parameters.

IMPORTANT: prior to 0.10 release second parameter was variance not standard deviation.

normalDistrE Source #

Arguments

:: Double

Mean of distribution

-> Double

Standard deviation of distribution

-> Maybe NormalDistribution 

Create normal distribution from parameters.

IMPORTANT: prior to 0.10 release second parameter was variance not standard deviation.

standard :: NormalDistribution Source #

Standard normal distribution with mean equal to 0 and variance equal to 1